# Math Help - Graphs

1. ## Graphs

Hi,

I was wondering how increasing the power of an equation would transform a graph?

e.g

y=ln(x^2)+6

vs

y=ln(x^3)+6

what change does increasing the power have?

2. Originally Posted by p4pri
Hi,

I was wondering how increasing the power of an equation would transform a graph?

e.g

y=ln(x^2)+6

vs

y=ln(x^3)+6

what change does increasing the power have?
A major change is that the graph will be defined for negative x when x has an even power.

Note than the graph of ln(x) is only defined for positive x as you cannot take the logarithm of a negative number. But if you have $y=ln(x^2)$, the graph will be defined for both positive and negative x as a negative value of x will become positive once you square.

Also, the graph will become steeper, due to you taking the natural logarithm of a larger and larger number as you increase the power of x.